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Finding the Fourth Proportional to 494,751.52, 683,397.84 and 365,952

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Solution

The fourth proportional to 494,751.52, 683,397.84 and 365,952 is: 505,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,751.52 : 683,397.84 = 365,952 : x
  2. Step 2: Convert to fraction form
    494,751.52/683,397.84 = 365,952/x
  3. Step 3: Cross multiply
    494,751.52x = 683,397.84 × 365,952
  4. Step 4: Simplify right side
    494,751.52x = 250,090,806,343.68
  5. Step 5: Solve for x
    x = 250,090,806,343.68/494,751.52
  6. Step 6: Final answer
    x = 505,487.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.